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Finding the Fourth Proportional to 313,709.22, 469,400.94 and 187,418.16

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Solution

The fourth proportional to 313,709.22, 469,400.94 and 187,418.16 is: 280,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,709.22 : 469,400.94 = 187,418.16 : x
  2. Step 2: Convert to fraction form
    313,709.22/469,400.94 = 187,418.16/x
  3. Step 3: Cross multiply
    313,709.22x = 469,400.94 × 187,418.16
  4. Step 4: Simplify right side
    313,709.22x = 87,974,260,477.07
  5. Step 5: Solve for x
    x = 87,974,260,477.07/313,709.22
  6. Step 6: Final answer
    x = 280,432.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.